Review using study guide.

## Archive for AP CALCULUS AB

Review using study guide.

## Week of 03/24 to 03/28/14:Integration by parts – Corollary to Fundamental Theorem of Calculus – Mean Value Theorem for Integral

Posted by:**Mr. Modenou**| March 24, 2014 Comments Off |

During this week, we will learn and review:

- How to find integral using Fundamental Theorem of Calculus
- How to find integral using corollary to Fundamental Theorem of Calculus
- Find the integral using integration by parts
- Find the Average Value using integral
- Find the integral using substitution techniques.
- Mean Value Theorem for Integral

Here is the practice test with answers we will use for reviewing and studying for Wednesday test: Practice Integral Exam.

## Week of 03/17 to 03/21/14:Integration by parts – Corollary to Fundamental Theorem of Calculus

Posted by:**Mr. Modenou**| March 17, 2014 Comments Off |

During this week, we will learn and review:

- How to find integral using Fundamental Theorem of Calculus
- How to find integral using corollary to Fundamental Theorem of Calculus
- Find the integral using integration by parts
- Find the Average Value using integral
- Find the integral using substitution techniques.

Here is one worksheet we will use for corollary to Fundamental Theorem of Calculus:AP Calculus AB worksheet – Corollary to FTC

## Week of 03/10 to 03/14/14: Definite Integrals – Fundamental Theorem of Calculus

Posted by:**Mr. Modenou**| March 10, 2014 Comments Off |

During this week, we will learn and review:

- How to find definite integrals using Fundamental Theorem of Calculus.
- Find the area of region using integral
- Find the Average Value using integral
- Find the integral using substitution techniques

## Week of 03/03 to 03/07/14: Definite Integrals – Fundamental Theorem of Calculus

Posted by:**Mr. Modenou**| March 2, 2014 Comments Off |

During this week, we will learn:

- How to find definite integrals using Fundamental Theorem of Calculus.

## Week of 02/24 to 02/28/14: Indefinite Integrals – Substitution Rule

Posted by:**Mr. Modenou**| February 25, 2014 Comments Off |

During this week, we will learn:

- How to find indefinite integrals
- How to use substitution rules to find indefinite integrals

### Homework: Textbook Page 338 – 339 # 1 – 29 and #35 – 49 dd due Friday 02/27/14.

## Week of 02/18 to 02/21/14: Indefinite Integrals – Substitution Rule

Posted by:**Mr. Modenou**| February 17, 2014 Comments Off |

During this week, we will learn:

- How to find anti-derivative also called an indefinite integral
- How to use the table of indefinite integrals to find indefinite integrals
- How to use substitution rules to find indefinite integrals

Homework: Textbook Page 329 – 330 # 1-15 odd and Page 338 – 339 # 1- 29 odd due Friday 02/21/14.

## Assignment due Wednesday 2/5/14 for 1st period and Thursday 2/6/14 for 2nd and 6th periods

Posted by:**Mr. Modenou**| February 3, 2014 Comments Off |

Using the Intermediate and Mean Value Theorem, complete the assignment # 3 questions a and b only on page 4 ap07_calculus_ab_frq and turn it Wednesday 2/5/14 for 1st period and Thursday 2/6/14 for 2nd and 6th periods

## Week of 02/03 to 02/07/14 : Intermediate value, Rolle’s, and Mean value theorem – Introduction to antiderivative

Posted by:**Mr. Modenou**| February 1, 2014 Comments Off |

Due to school cancellation, we will learn and review:

- How to solve optimization problems using optimization strategy
- How to find linear approximation
- How to use mean value theorem, intermediate value theorem, and Rolle’s theorem.
- How to approximate using linearization.

Also, we will have Application of derivative test2 on Thursday that will cover optimization, linearization, mean value theorem, intermediate value theorem, and Rolle’s theorem.

## Week of 01/27 to 01/31/14 : Mean value theorem

Posted by:**Mr. Modenou**| January 26, 2014 Comments Off |

During this week, we will learn and review:

- How to solve optimization problems using optimization strategy
- How to find linear approximation
- How to use mean value theorem
- How to approximate using linearization.

We will make correction to this worksheet Linearization on Monday 01/27/14. The homework: Textbook Page 193 #1 to 10 of last week is due Tuesday 01/28/14

## Week of 01/21 to 01/24/14 : Linear approximation

Posted by:**Mr. Modenou**| January 20, 2014 Comments Off |

During this week, we will learn:

- How to find the linear approximation of Δf
- How to find the linear approximation of a function at a point
- How to approximate using linearization and compute the % of error.

Here is the homework: Textbook Page 193 #1 to 10 due Friday 01/24/14

## Week of 01/13 to 01/17/14 : Optimization and Linear Approximation

Posted by:**Mr. Modenou**| January 12, 2014 Comments Off |

During this week, we will learn:

- How to solve optimization problems using optimization strategy
- How to find linear approximation.

Here is the worksheet we will use:Notes Appl. Deriv. Optimization

Here is the homework: AP Calculus AB Related Rates and Pythagorean Theorem Worksheet due Friday 01/17/14

## Week of 01/08 to 01/10/14 : Galileo’s Height and velocity Function and Related Rates

Posted by:**Mr. Modenou**| January 7, 2014 Comments Off |

During this week, we will learn:

- How to use Galileo function to find height, velocity, maximum/minimum and problems related
- How to find related rates.

Here is the homework: AP Calculus Hwk (01-08-14) due Friday 01/10/14

Students will take final today and tomorrow.

Students finished the rest of problems on study guide.

Students continued reviewing for the final using study guide.

Students continued reviewing for the final using study guide.

Students were reviewing for the final using study guide.

AP Calculus students did not have class.

We completed the 3rd page of worksheet.

## 1st and 2nd derivative tests and graph of functions

Posted by:**Mr. Modenou**| December 4, 2013 Comments Off |

We went over what 1st and 2nd derivative tests tell about functions. We completed the graphic organizer. We completed the 1st page of their worksheet. For homework, complete page 2 at home.

We went over some special cases of differentiation including logarithmic differentiation. We practiced using problems from last worksheet “Derivative review fall 2013″. Finish the rest of problems at home as homework.

We completed the second page of worksheet.

Students took test Part B on derivative.

We reviewed all the derivative concepts. No homework.

## Find interval on increasing and decreasing using derivative

Posted by:**Mr. Modenou**| November 18, 2013 Comments Off |

We went over rules to find interval of increasing and decreasing using derivative and practiced. Homework was given.

I was absent. I left the worksheets to complete.

We made correction on the last Friday test.

## Implicit differentiation involving Log and exp. functions

Posted by:**Mr. Modenou**| November 11, 2013 Comments Off |

We reviewed log and exp functions properties and went over how to use these properties to find derivative using Implicit differentiation.

We took a test part A on derivative

We reviewed for tomorrow test. It will cover how to find derivative using power, quotient, chain, and product rules, and implicit differentiation.

We made correction on Friday work on ”How to find derivative using power rules”.

We continued practicing on how to find dy/dx using Implicit differentiation. For homework, finish the practice work at home.

We completed the rest of problems on derivative sheet. We went over rules to find dy/dx using Implicit differentiation. For homework, finish the practice work at home.

## Practice on Practice on “how to find derivative using power, product, and chain rules or the combination of all rules”

Posted by:**Mr. Modenou**| November 4, 2013 Comments Off |

We practiced on “how to find derivative using power, product, and chain rules or the combination of all rules”.

## Practice on “how to find derivative using power rules”

Posted by:**Mr. Modenou**| November 1, 2013 Comments Off |

We practiced on how to find derivative using power rules.

## Power, product, and quotient rules of derivative Worksheet (4th period).

Posted by:**Mr. Modenou**| October 31, 2013 Comments Off |

We completed the page 1 of the derivative worksheet.

## Power, product, and quotient rules of derivative Worksheet (5th period).

Posted by:**Mr. Modenou**| October 30, 2013 Comments Off |

We completed the page 1 of the derivative worksheet.

## Power, product, and quotient rules of derivative (4th period).

Posted by:**Mr. Modenou**| October 29, 2013 Comments Off |

We went and practiced power, product, and quotient rules of derivative. Here is the worksheet you need to start working on: Derivatives Worksheet